Flops and Poisson deformations of symplectic varieties
| dc.creator | Namikawa, Yoshinori | |
| dc.date | 2005-10-04 | |
| dc.date | 2006-06-14 | |
| dc.date.accessioned | 2026-07-07T09:55:06Z | |
| dc.date.available | 2026-07-07T09:55:06Z | |
| dc.description | This is a local version of math.AG/0506534. We shall deal with the deformation of a convex symplectic variety $X$ instead of a projective one. The usual deformation does not work well in the convex case. Instead, we regard $X$ as a Poisson scheme and study its Poisson deformation. One of the application is the following: Let $Y$ be an affine symplectic variety, and assume that $Y$ has two $Q$-factorial crepant terminalizations $X$ and $X'$. If $X$ is non-singular, then $X'$ is non-singular, too. Moreover, when $Y$ has a good $C^*$-action, $X$ and $X'$ have the same kind of singularities. | |
| dc.description | In the previous version, we claimed that singularities do not change under an arbitrary symplectic flop. But, this claim is not justified for lack of algebraization | |
| dc.identifier | https://arxiv.org/abs/math/0510059 | |
| dc.identifier | http://arxiv.org/abs/math/0510059 | |
| dc.identifier | Publ. RIMS, Vol 44 (2008), 259-314 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166554 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Flops and Poisson deformations of symplectic varieties | |
| dc.type | text |